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Finding the Fourth Proportional to 464,589.11, 641,358.24 and 311,571.56

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Solution

The fourth proportional to 464,589.11, 641,358.24 and 311,571.56 is: 430,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,589.11 : 641,358.24 = 311,571.56 : x
  2. Step 2: Convert to fraction form
    464,589.11/641,358.24 = 311,571.56/x
  3. Step 3: Cross multiply
    464,589.11x = 641,358.24 × 311,571.56
  4. Step 4: Simplify right side
    464,589.11x = 199,828,987,355.65
  5. Step 5: Solve for x
    x = 199,828,987,355.65/464,589.11
  6. Step 6: Final answer
    x = 430,119.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.